16.73/4.57 YES 17.38/4.74 17.38/4.74 17.38/4.74 The system was filtered by the following matrix interpretation 17.38/4.74 of type E_J with J = {1,...,2} and dimension 22: 17.38/4.74 17.38/4.74 0 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 \ / 17.38/4.74 1 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 \ / 17.38/4.74 2 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 17.38/4.74 \ / 17.38/4.74 3 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 \ / 17.38/4.74 4 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 \ / 17.38/4.74 5 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 17.38/4.74 \ / 17.38/4.74 17.38/4.74 Remains to prove termination of the 29-rule system 17.38/4.74 { 0 0 0 1 -> 0 1 2 , 17.38/4.74 0 3 4 0 1 1 4 3 4 -> 0 3 4 1 0 5 1 4 , 17.38/4.74 2 1 5 5 3 5 5 3 2 -> 2 2 0 2 4 0 1 2 , 17.38/4.74 3 3 2 4 4 4 5 0 0 -> 3 5 0 1 4 5 4 0 0 , 17.38/4.74 3 4 3 3 5 5 3 4 4 -> 5 0 2 0 5 4 0 , 17.38/4.74 1 1 0 5 4 1 1 3 5 1 -> 1 1 5 4 5 4 4 4 1 , 17.38/4.74 3 0 1 1 1 3 5 0 0 4 -> 3 5 3 3 0 4 3 4 0 , 17.38/4.74 5 0 1 4 5 4 3 0 0 1 -> 5 1 4 0 5 2 5 0 1 , 17.38/4.74 3 4 3 4 5 2 3 2 4 1 3 -> 2 4 4 2 2 2 3 5 5 3 , 17.38/4.74 2 1 2 5 2 4 2 1 4 1 0 0 -> 0 1 2 5 2 5 5 0 2 3 0 , 17.38/4.74 2 5 4 0 3 1 2 5 1 1 4 5 -> 1 0 3 4 4 1 3 5 1 1 4 5 , 17.38/4.74 1 5 2 1 5 2 3 3 2 1 5 1 1 -> 1 5 0 3 2 5 3 5 2 2 0 , 17.38/4.74 5 4 4 1 1 4 2 0 5 1 4 4 4 -> 5 4 0 1 3 4 0 4 2 1 2 5 , 17.38/4.74 4 5 5 2 1 3 4 2 0 5 1 5 1 1 -> 4 5 2 3 2 0 5 4 3 5 4 2 , 17.38/4.74 3 0 5 2 2 0 4 5 3 4 3 5 2 5 2 -> 2 0 4 2 0 2 2 1 2 4 5 0 4 3 2 , 17.38/4.74 4 2 5 0 5 4 2 5 0 3 2 1 5 5 4 -> 4 4 0 5 2 1 2 1 1 5 1 4 3 5 1 3 , 17.38/4.74 2 0 5 2 3 1 3 3 2 1 0 4 2 0 3 0 -> 3 2 2 3 2 0 1 2 0 1 2 0 5 5 4 0 , 17.38/4.74 4 4 5 1 0 1 5 0 1 0 4 5 3 5 4 4 -> 4 1 2 1 2 2 0 1 1 1 0 3 3 2 3 3 4 , 17.38/4.74 2 2 0 4 3 1 5 1 1 4 2 3 0 4 1 1 3 -> 0 3 5 0 3 1 2 2 5 2 2 2 5 4 4 , 17.38/4.74 5 5 1 0 5 0 5 0 5 0 3 0 2 5 5 4 1 -> 2 1 1 3 1 5 0 2 0 0 4 5 5 5 5 2 5 1 , 17.38/4.74 1 0 0 0 2 5 4 1 0 1 2 2 5 0 4 3 4 4 -> 1 2 2 5 1 5 2 0 2 4 3 4 3 0 4 2 0 , 17.38/4.74 2 2 3 0 5 3 0 4 0 3 1 1 1 5 1 3 1 0 -> 2 4 1 5 5 0 1 2 0 2 5 1 4 1 0 0 , 17.38/4.74 2 1 1 4 4 2 1 0 3 0 0 3 3 4 3 1 0 4 4 -> 2 1 0 3 4 1 5 4 0 1 2 1 5 2 1 1 2 3 4 , 17.38/4.74 4 1 4 0 2 0 5 5 2 0 2 2 0 1 2 1 5 5 2 4 -> 4 3 1 4 5 0 0 5 2 5 3 0 5 0 1 1 0 3 5 , 17.38/4.74 4 3 3 5 3 5 1 3 1 0 3 1 5 4 1 3 4 4 5 2 -> 4 3 5 5 5 0 5 2 5 5 3 3 2 4 3 4 4 2 , 17.38/4.74 5 4 4 0 5 0 4 0 3 4 4 4 0 5 3 3 3 5 2 4 -> 3 2 4 1 5 2 4 5 5 3 5 0 3 4 1 4 3 1 2 2 2 , 17.38/4.74 0 0 2 4 0 2 0 0 1 5 4 5 5 1 3 0 1 5 1 5 4 -> 0 2 3 2 4 0 4 4 1 5 2 2 2 0 0 1 3 4 2 5 , 17.38/4.74 2 2 2 2 2 1 2 0 0 5 3 0 1 0 2 0 1 3 1 1 2 -> 0 3 3 4 2 2 3 0 0 3 1 2 2 4 4 4 1 5 0 , 17.38/4.74 2 3 3 2 1 4 0 4 5 1 1 2 5 2 2 4 1 2 1 0 2 -> 5 5 4 2 3 5 2 0 4 2 0 2 3 3 0 5 1 1 4 2 } 17.38/4.74 17.38/4.74 17.38/4.74 The system was filtered by the following matrix interpretation 17.38/4.74 of type E_J with J = {1,...,2} and dimension 2: 17.38/4.74 17.38/4.74 0 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 17 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 1 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 11 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 2 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 13 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 3 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 14 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 4 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 15 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 5 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 14 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 17.38/4.74 Remains to prove termination of the 5-rule system 17.38/4.74 { 3 3 2 4 4 4 5 0 0 -> 3 5 0 1 4 5 4 0 0 , 17.38/4.74 2 5 4 0 3 1 2 5 1 1 4 5 -> 1 0 3 4 4 1 3 5 1 1 4 5 , 17.38/4.74 4 2 5 0 5 4 2 5 0 3 2 1 5 5 4 -> 4 4 0 5 2 1 2 1 1 5 1 4 3 5 1 3 , 17.38/4.74 5 5 1 0 5 0 5 0 5 0 3 0 2 5 5 4 1 -> 2 1 1 3 1 5 0 2 0 0 4 5 5 5 5 2 5 1 , 17.38/4.74 2 3 3 2 1 4 0 4 5 1 1 2 5 2 2 4 1 2 1 0 2 -> 5 5 4 2 3 5 2 0 4 2 0 2 3 3 0 5 1 1 4 2 } 17.38/4.74 17.38/4.74 17.38/4.74 The system was filtered by the following matrix interpretation 17.38/4.74 of type E_J with J = {1,...,2} and dimension 2: 17.38/4.74 17.38/4.74 0 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 1 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 1 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 2 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 1 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 3 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 1 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 4 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 5 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 17.38/4.74 Remains to prove termination of the 2-rule system 17.38/4.74 { 5 5 1 0 5 0 5 0 5 0 3 0 2 5 5 4 1 -> 2 1 1 3 1 5 0 2 0 0 4 5 5 5 5 2 5 1 , 17.38/4.74 2 3 3 2 1 4 0 4 5 1 1 2 5 2 2 4 1 2 1 0 2 -> 5 5 4 2 3 5 2 0 4 2 0 2 3 3 0 5 1 1 4 2 } 17.38/4.74 17.38/4.74 17.38/4.74 The system was filtered by the following matrix interpretation 17.38/4.74 of type E_J with J = {1,...,2} and dimension 2: 17.38/4.74 17.38/4.74 0 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 2 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 1 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 2 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 1 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 3 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 4 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 5 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 17.38/4.74 Remains to prove termination of the 1-rule system 17.38/4.74 { 2 3 3 2 1 4 0 4 5 1 1 2 5 2 2 4 1 2 1 0 2 -> 5 5 4 2 3 5 2 0 4 2 0 2 3 3 0 5 1 1 4 2 } 17.38/4.74 17.38/4.74 17.38/4.74 The system was filtered by the following matrix interpretation 17.38/4.74 of type E_J with J = {1,...,2} and dimension 2: 17.38/4.74 17.38/4.74 0 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 1 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 1 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 2 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 3 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 4 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 5 is interpreted by 17.38/4.74 / \ 17.38/4.74 | 1 0 | 17.38/4.74 | 0 1 | 17.38/4.74 \ / 17.38/4.74 17.38/4.74 Remains to prove termination of the 0-rule system 17.38/4.74 { } 17.38/4.74 17.38/4.74 17.38/4.74 The system is trivially terminating. 26.78/9.14 EOF